I have a circle with an arc beginning at point (x,y). The radius is r,...

Yesenia Obrien

Yesenia Obrien

Answered

2022-07-14

I have a circle with an arc beginning at point (x,y). The radius is r, the arc angle(w/ respect to center) is θ. How do I calculate the end point of the arc (a,b) ?
I know that the arc-length=radius*(arc angle)
I can't seem to find an easy way to solve this, I think the way to go is with parametric equations but I'm not sure.

Answer & Explanation

Sophia Mcdowell

Sophia Mcdowell

Expert

2022-07-15Added 14 answers

One way is to calculate the angle to the first point
α = arctan ( p 1. y c p . y p 1. x c p . x )
Then you add your angle and calculate the new point:
p 2. x = c p . x + r c o s ( α + θ )
p 2. y = c p . y + r s i n ( α + θ )

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